Asymptotic binary Goldbach and Lemoine conjecture

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Let nn be an even positive integer. An odd prime is a prime number other than 22. Asymptotic binary Goldbach and Lemoine conjecture. For every sufficiently large even number nn, there exist odd primes pmp_m, ptp_t, and pop_o with (pm,n)=1(p_m,n)=1 such that

pmpo≡−pmpt(modn).p_mp_o\equiv -p_mp_t\pmod n.

This is a congruence assertion involving products of odd primes modulo sufficiently large even integers. The supplied text gives no resolution or further context for the conjecture.

References

Primary source

Theophilus Agama and Berndt Gensel, “The Asymptotic Binary Goldbach and Lemoine Conjectures”, arXiv:1709.05335 (2026).

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